Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450ec |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-8624649700800000000 = -1 · 212 · 314 · 58 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-256730,-149840103] |
[a1,a2,a3,a4,a6] |
j |
-164287467238609/757170892800 |
j-invariant |
L |
4.6137930026112 |
L(r)(E,1)/r! |
Ω |
0.096120687664272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150m1 14490v1 |
Quadratic twists by: -3 5 |